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Finding the Fourth Proportional to 209.74, 314.88 and 177.88

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Solution

The fourth proportional to 209.74, 314.88 and 177.88 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 314.88 = 177.88 : x
  2. Step 2: Convert to fraction form
    209.74/314.88 = 177.88/x
  3. Step 3: Cross multiply
    209.74x = 314.88 × 177.88
  4. Step 4: Simplify right side
    209.74x = 56,010.85
  5. Step 5: Solve for x
    x = 56,010.85/209.74
  6. Step 6: Final answer
    x = 267.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.